SOLUTION: Moe can mow a field with his mower in 3 hours by himself. Curly can mow the same field with his mower in 4 hours by himself. How long would it take both Moe and Curly to mow if t

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Moe can mow a field with his mower in 3 hours by himself. Curly can mow the same field with his mower in 4 hours by himself. How long would it take both Moe and Curly to mow if t      Log On


   

Question 1040119: Moe can mow a field with his mower in 3 hours by himself. Curly can mow the same field with his mower in 4 hours by himself. How long would it take both Moe and Curly to mow if they worked together?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Moe's rate,
3%2AM=T%7D%7D%0D%0A%7B%7B%7BM=T%2F3
Curly's rate,
4%2AC=T
C=T%2F4
Together,
X%2A%28M%2BC%29=T
X%2A%28T%2F3%2BT%2F4%29=T
TX%281%2F3%2B1%2F4%29=T
X=1%2F%281%2F3%2B1%2F4%29
X=1%2F%284%2F12%2B3%2F12%29
X=1%2F%287%2F12%29
X=12%2F7hours
X=1%265%2F7hours